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Open AccessMathematicsComputer Science

Some Estimates for Virtual Element Methods

S. Brenner, Qingguang Guan, L. Sung

2017Computational Methods in Applied Mathematics

DOI: 10.1515/cmam-2017-0008

tlooto Summary

Novel techniques for obtaining the basic estimates of virtual element methods in terms of shape regularity of polygonal/polyhedral meshes are presented and new error estimates for the Poisson problem in two and three dimensions are derived.

Abstract

We present novel techniques for obtaining the basic estimates of virtual element methods in terms of the shape regularity of polygonal/polyhedral meshes. We also derive new error estimates for the Poisson problem in two and three dimensions.

Citation format

BRENNER, S.; GUAN, Qingguang; SUNG, L. Some estimates for virtual element methods. Computational Methods in Applied Mathematics, 2017, 17: 553–574.